2 787 859 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Factored

Factor	Digits	Bits	Date
646783289	9	29.3	old
6222501289	10	32.5	2008-09-07 19:41:48
20100257112432135603593	23	74.1	2023-01-19 00:20:16

ECM

Digits	B1	Curves
25	50000	3 / 280

Estimated T-Level: 20.1 ⓘ

TF below 2^62 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-10-21	Oliver Kruse	19D3DF5F10C93188	2	1803960	5	3
Verified (Factored)	2017-12-06	kkmrkkblmbrbk	19D3DF5F10C93188	2	334007	5	3
Verified	2023-01-22	LordJulius	19D3DF5F10C93188	3	2359441	5	3

P-1 factors

Date	Factor	B1	B2
2023-01-19	20100257112432135603593	330000	261254070

History

Date	User	Type	Result
2023-01-23	curtisc	CERT	PRP Certification Proof certified good
2023-01-22	LordJulius	C-PRP	M2787859/646783289/6222501289/20100257112432135603593 : 19D3DF5F10C93188 PRP proof power = 7 PRP: Verified Proof certified good
2023-01-19	USAFSS	F-PM1	Factor: 20100257112432135603593 / (P-1, B1=330000, B2=261254070)
2017-12-06	kkmrkkblmbrbk	C-PRP	M2787859/646783289/6222501289 : 19D3DF5F10C93188 PRP: Verified (Factored) PRP without proof (not generated)
2017-10-21	Oliver Kruse	C-PRP	M2787859/646783289/6222501289 : 19D3DF5F10C93188 PRP: Verified (Factored) PRP without proof (not generated)
2008-09-07	Will Edgington	F	Factor: 6222501289